Atkin-Lehner |
2- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120q |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
74477474938880000 = 223 · 54 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800347,-929692086] |
[a1,a2,a3,a4,a6] |
j |
157555084236760311921/18182977280000 |
j-invariant |
L |
1.0426861096287 |
L(r)(E,1)/r! |
Ω |
0.13033573557131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390h1 |
Quadratic twists by: -4 |